It’s been a wild couple of days figuring this one out. Special thanks to Jonah West for all the help and encouragement. This plugin seeks to greatly simplify the ability to create background colors for your categories in the month view when using The Events Calendar plugin. It requires The Events Calendar v2.0.5 or greater.
TEC Category Colors uses the Tribe Setting API to integrate its settings into TEC’s settings page.
You can grab it from the WordPress Repository.